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4x^{9}+2x^{8}+7x+10-19x
Combine -8x and 15x to get 7x.
4x^{9}+2x^{8}-12x+10
Combine 7x and -19x to get -12x.
4x^{9}+2x^{8}-12x+10
Multiply and combine like terms.
2\left(2x^{9}+x^{8}-6x+5\right)
Factor out 2. Polynomial 2x^{9}+x^{8}-6x+5 is not factored since it does not have any rational roots.